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Finding the Third Proportional to 367,035 and 543,730

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Solution

The third proportional to 367,035 and 543,730 is: 805,488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,035 : 543,730 = 543,730 : x
  2. Step 2: Convert to fraction form
    367,035/543,730 = 543,730/x
  3. Step 3: Cross multiply
    367,035x = 543,730 × 543,730
  4. Step 4: Simplify right side
    367,035x = 295,642,312,900
  5. Step 5: Solve for x
    x = 295,642,312,900/367,035
  6. Step 6: Final answer
    x = 805,488.07

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.